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Finding the Fourth Proportional to 102.99, 142.01 and 93.67

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Solution

The fourth proportional to 102.99, 142.01 and 93.67 is: 129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.99 : 142.01 = 93.67 : x
  2. Step 2: Convert to fraction form
    102.99/142.01 = 93.67/x
  3. Step 3: Cross multiply
    102.99x = 142.01 × 93.67
  4. Step 4: Simplify right side
    102.99x = 13,301.49
  5. Step 5: Solve for x
    x = 13,301.49/102.99
  6. Step 6: Final answer
    x = 129.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.